Sensitivity analysis in distributed-parameter mechanical system optimization
作者： E. J. Haug , V. Komkov
DOI: 10.1007/BF00933452
关键词:
摘要: A class of distributed-parameter optimal design problems is treated, in which the variable appears as a coefficient partial differential operator. Formal sensitivity analysis techniques that are common use engineering literature studied and made technically precise. Operator theoretic Frechet differentiation theory employed to develop rigorous for static vibrating elastic structures. Two examples involving fourth-order ordinary operators, commonly encountered treating beam plate elements, analyzed.
springer.com
sci-hub.se 参考文章(11)
M.Z. NASHED, Differentiability and Related Properties of Nonlinear Operators: Some Aspects of the Role of Differentials in Nonlinear Functional Analysis Nonlinear Functional Analysis and Applications#R##N#Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 12–14, 1970. pp. 103- 309 ,(1971) , 10.1016/B978-0-12-576350-9.50006-0
R.A. TAPIA, The Differentiation and Integration of Nonlinear Operators Nonlinear Functional Analysis and Applications#R##N#Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 12–14, 1970. pp. 45- 101 ,(1971) , 10.1016/B978-0-12-576350-9.50005-9
E.J. HAUG, T.T. FENG, Optimization of Distributed Parameter Structures Under Dynamic Loads Control and dynamic systems. ,vol. 13, pp. 207- 246 ,(1977) , 10.1016/B978-0-12-012713-9.50011-7
Tosio Kato, Perturbation theory for linear operators ,(1966)
MEHDI FARSHAD, Variations of Eigenvalues and Eigenfunctions in Continuum Mechanics AIAA Journal. ,vol. 12, pp. 560- 561 ,(1974) , 10.2514/3.49287
William Prager, Optimal design of statically determinate beams for given deflection International Journal of Mechanical Sciences. ,vol. 13, pp. 893- 895 ,(1971) , 10.1016/0020-7403(71)90115-9
E. J. Haug, K. C. Pan, T. D. Streeter, A computational method for optimal structural design II: Continuous problems International Journal for Numerical Methods in Engineering. ,vol. 9, pp. 649- 667 ,(1975) , 10.1002/NME.1620090312
E. J. Haug, J. S. Arora, K. Matsui, A steepest-descent method for optimization of mechanical systems Journal of Optimization Theory and Applications. ,vol. 19, pp. 401- 424 ,(1976) , 10.1007/BF00941484
Edward J. Beltrami, Robert H. Bryant, An Algorithmic Approach to Nonlinear Analysis and Optimization Journal of Dynamic Systems, Measurement, and Control. ,vol. 95, pp. 441- 441 ,(1973) , 10.1115/1.3426750
V. Komkov, On a variational formulation of problems in the classical continuum mechanics of solids International Journal of Engineering Science. ,vol. 6, pp. 695- 720 ,(1968) , 10.1016/0020-7225(68)90008-6